Question

If x3 + ax2 – bx + 10 is divisible by x2 – 3x + 2, find the values of a and b.
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Answer 1

Step-by-step explanation:

p(x)=2x-3x+2=2-x

x=2

p(2)=0 if2x-3x+2is a factor of p(x)

2*3+2*2a-b*2+10=0

6+4a-2b+10=0

16+4a-2b=0

2(8+2a-b) =0

8+2a-b=0

2a-b=-8

a-b=-4

a-b=0-4

a=0

b=-4